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27889664 = 21211619
BaseRepresentation
bin110101001100…
…1000000000000
31221110221102112
41222121000000
524114432124
62433434452
7456025655
oct152310000
957427375
1027889664
1114819a10
12940ba28
135a1657a
1439bdc2c
1526ad90e
hex1a99000

27889664 has 52 divisors (see below), whose sum is σ = 60941040. Its totient is φ = 12656640.

The previous prime is 27889649. The next prime is 27889669. The reversal of 27889664 is 46698872.

It is not an unprimeable number, because it can be changed into a prime (27889669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44747 + ... + 45365.

Almost surely, 227889664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30470520).

27889664 is an abundant number, since it is smaller than the sum of its proper divisors (33051376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27889664 is an equidigital number, since it uses as much as digits as its factorization.

27889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 632 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 27889664 is about 5281.0665589443. The cubic root of 27889664 is about 303.2595089299.

The spelling of 27889664 in words is "twenty-seven million, eight hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 619 704 1024 1238 1408 2048 2476 2816 4096 4952 5632 6809 9904 11264 13618 19808 22528 27236 39616 45056 54472 79232 108944 158464 217888 316928 435776 633856 871552 1267712 1743104 2535424 3486208 6972416 13944832 27889664